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Gravitational Forces and Fields Quiz

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Questions and Answers

What is the dimension of the gravitational constant G?

[M^1L^2T^0]

[M^1L^1T^{-1}]

[M^0L^1T^1]

[M^{-1}L^3T^{-2}] (correct)

What happens to the value of gravitational field intensity (g) as one goes deeper into the Earth?

It remains constant regardless of depth.

It varies inversely with depth.

It decreases linearly with depth. (correct)

It increases linearly with depth.

Which of the following is a characteristic of gravitational force?

It can be repulsive.

It only affects massive bodies.

It requires other bodies to exert a force.

It is a mutual force between all bodies. (correct)

When calculating the weight of an object, which formula is used?

$w = mg$ Signup and view all the answers

If the distance from the center of the Earth is doubled, how does gravitational force change according to the formula $F = G rac{m_1 m_2}{r^2}$?

It decreases to a quarter of the original force. Signup and view all the answers

What is the relationship between gravitational force and the distance between two masses according to Newton's Law of Universal Gravitation?

It is inversely proportional to the distance squared. Signup and view all the answers

In a uniform spherical shell, what happens to the gravitational field inside the shell?

It is zero. Signup and view all the answers

What is the SI unit of gravitational potential?

J/kg Signup and view all the answers

How does the gravitational potential due to a point mass behave?

It is always negative. Signup and view all the answers

What type of field is produced by a uniformly distributed mass when observed from an external point?

Attractive and conservative. Signup and view all the answers

What is the expression for the gravitational potential at a point outside a uniform solid sphere?

$V(r) = -rac{GM}{r}$ Signup and view all the answers

Which of the following gives the gravitational potential at the center of a uniform solid sphere?

$V = -rac{3GM}{2R}$ Signup and view all the answers

How does the gravitational potential change with distance for points inside a uniform solid sphere?

It decreases quadratically with distance. Signup and view all the answers

What is the relationship between the change in gravitational potential and the gravitational field strength?

$dV = -E imes dr$ Signup and view all the answers

How would you describe the graph of gravitational potential versus distance for external points relative to the uniform solid sphere?

It resembles a hyperbola. Signup and view all the answers